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Finding the Fourth Proportional to 104,658.50, 144,435.02 and 61,666.64

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Solution

The fourth proportional to 104,658.50, 144,435.02 and 61,666.64 is: 85,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,658.50 : 144,435.02 = 61,666.64 : x
  2. Step 2: Convert to fraction form
    104,658.50/144,435.02 = 61,666.64/x
  3. Step 3: Cross multiply
    104,658.50x = 144,435.02 × 61,666.64
  4. Step 4: Simplify right side
    104,658.50x = 8,906,821,351.22
  5. Step 5: Solve for x
    x = 8,906,821,351.22/104,658.50
  6. Step 6: Final answer
    x = 85,103.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.